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Reptile [31]
3 years ago
6

If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

13

Step-by-step explanation:

f(x) = \dfrac{x}{2} + 8

f(10) = \dfrac{10}{2} + 8

f(10) = 5 + 8

f(10) = 13

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What is the range of g?
morpeh [17]

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

6 0
3 years ago
Brainliest pls help
Airida [17]
<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

<u>Rectangular prism Volume</u>

5*5*6.3

<em>157.5</em>

<u>Right triangle prism Volume</u>

(3*5*6.3) / 2

94.5 / 2

<em>47.25</em>

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

<em><u>204.8 cm^3 = Total Volume </u></em>

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

<em>1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).</em>

<em>So, within each of these right </em>trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

<u><em>216.8 cm^2 = Total Surface Area</em></u>

<em />

8 0
3 years ago
5+2x15+1-6/76^3x2+73*0+0.0000273
NemiM [27]
  • 6+2(15)+1-6/(76^2×2)+73×0+0.0000273
  • 6+30+1-6/11552+0+0.0000273
  • 37-0.000519+0.0000273
  • 36.999

Done

6 0
2 years ago
24. A farmstand collected $350 from sales on Wednesday. This amount was $75
larisa [96]

Answer:

$100

Step-by-step explanation:

Given:

  • Wednesday sales = $350

If the amount collected from sales on Wednesday was <u>$75 greater</u> than the amount collected from sales on Tuesday, then Tuesday's sales were $75 <u>less</u> than Wednesday's sales:

  • Tuesday sales = $350 - $75 = $275

If the amount collected from sales on Wednesday was <u>two times as great</u> as the amount collected from sales on Monday, then Monday's sales were <u>half</u> Wednesday's sales:

  • Monday sales = $350 ÷ 2 = $175

To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, <u>subtract</u> the Monday sales from the Tuesday sales:

  • $275 - $175 = $100
8 0
2 years ago
Read 2 more answers
A. 7 ft<br><br> B. 8 ft<br><br> C. 49 ft<br><br> D. 576 ft
AleksAgata [21]
Your equation is gonna be a^2-24^2=25^2 and your answer is 7.
4 0
2 years ago
Read 2 more answers
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